401064075 has 48 divisors (see below), whose sum is σ = 742318560. Its totient is φ = 212290560.

The previous prime is 401064073. The next prime is 401064107. The reversal of 401064075 is 570460104.

401064075 is a `hidden beast` number, since 4 + 0 + 10 + 640 + 7 + 5 = 666.

It is not a de Polignac number, because 401064075 - 2¹ = 401064073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401064073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90307 + ... + 94643.

It is an arithmetic number, because the mean of its divisors is an integer number (15464970).

Almost surely, 2^401064075 is an apocalyptic number.

401064075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

401064075 is a deficient number, since it is larger than the sum of its proper divisors (341254485).

401064075 is a wasteful number, since it uses less digits than its factorization.

401064075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 401064075 is about 20026.5842069985. The cubic root of 401064075 is about 737.4590688765.

The spelling of 401064075 in words is "four hundred one million, sixty-four thousand, seventy-five".